The bullseye on an archery target has a radius of 3 inches. The entire target has a radius of 9 inches. To the nearest hundredth, find the area of the target outside of the bullseye. Use 3.14 for π.

Answers

Answer 1

Answer:

226.1 [tex]in^{2}[/tex]

Step-by-step explanation:


Related Questions

Which of these strategies would eliminate a variable in the system of equations?
{
6

+
5

=
1
6


5

=
7









6x+5y=1
6x−5y=7


Choose all answers that apply:
Choose all answers that apply:

(Choice A)
A
Subtract the bottom equation from the top equation.

(Choice B)
B
Add the equations.

(Choice C)
C
Multiply the top equation by
7
77, then subtract the bottom equation from the top equation.

Answers

Answer:

B

Step-by-step explanation:

If both signs are the same (++,--), then you subtract.

If the two signs are different(+-,-+), then you add.

Toby and his little sister are saving up money to buy a joint birthday present for their mother. Toby already has $26 saved and plans to save $14 per week from his allowance. His sister has $28 saved so far and will save $12 per week from hers. The two siblings will soon have saved the same amount towards their mother's gift. How long will that take? How much will each one have saved?
In ------- weeks, Toby and his sister will each have saved $---------

Answers

In 1 week, Toby and his sister will each have saved $40.

In how many weeks would the siblings have saved the same amount?

The first step is to form a linear equation that represents the equation in the question. A linear equation is an equation that has a single variable that is raised to the power of one.

The form of a linear equation that represents the amount saved by the siblings is:

Total amount saved = amount they have already saved + (number of weeks x amount saved per week)

Amount saved by Toby = $26 + ($14 x w)

$26 + $14w

Amount saved by his sister = $28 + ($12 x w)

$28 + $12w

When the siblings have saved the same amount of money, the two above linear functions would be equal:

$26 + 14w = $28 + $12w

In order to determine the value of w, take the following steps:

Combine and add similar terms:

$14w - $12w = $28 - $26

2w = 2

Divide both sides of the equation by 2

w = 2 / 2

w = 1 week

Total amount that would have been saved = $28 + $12(1)

$28 + 12 = $40.

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An individual was making blankets for a few friends. The individual used 6.25 feet of fabric for one blanket. If the individual makes 7 blankets, how many feet of fabric will the individual have used to make 7 blankets (round to the nearest whole number)?

Answers

The number of feet of fabric the individual used to make 7 blankets is 43.75 feet

Landon had one string that was 10 meters long. He used 6.275 meters of this string for a project.
What was the length of string in meters that Landon had left?
16.275 m
4.275 m
3.725 m
6.265 m

Answers

Answer:

3.725

Step-by-step explanation:

10-6.275

4-0.275

3.725

A survey was conducted to determine how people rated the quality of programming available on television. Respondents were asked to rate the overall quality from 0​ (no quality at​ all) to 100​(extremely good​ quality). The​ stem-and-leaf display of the data is shown to the right. What percentage of the respondents rated overall television quality with a rating of 50 or​ below? show answer please A. 56 B. 44 C. 11 D. 40

Answers

Approximately 43.3% of the respondents rated overall television quality with a rating of 50 or below. The closest answer choice is D. 40

What is the range of the data?

The range is the spread of your data from the lowest to the highest value in the distribution. It is a commonly used measure of variability. Along with measures of central tendency, measures of variability give you descriptive statistics for summarizing your data set

The stem-and-leaf display shows that the data ranges from 0 to 100.

The leaves on the stem for the number "5" are 0, 0, 1, 2, 4, 4, 5, 5, 5, 6, 6, 7, 8, 9.

This means that 13 of the respondents rated overall television quality with a rating of 50 or below.

To find the percentage of respondents who rated television quality 50 or below, we need to divide the number of respondents who rated television quality 50 or below (13) by the total number of respondents and multiply by 100.

13/30 * 100 = 43.333...

Hence, approximately 43.3% of the respondents rated overall television quality with a rating of 50 or below. The closest answer choice is D. 40%.

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What is the end behavior of the graph?

Answers

The end behaviour of the graph shows that the range of the graph ranges from 0 to ∞.

What are domain and range?

The domain of a function is the set of values that can be plugged into it. This set contains the x values in a function like f. (x). A function's range is the set of values that the function can take. This is the set of values that the function returns after we enter an x value.

In the given image the graph is showing a parabola symmetric about the y-axis. The range of the graph is varying from 0 to ∞. The graph's end behaviour indicates that the graph's range is from 0 to.

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A town has a population of 78,000 and shrinks at a rate of 3% every year. Which equation represents the town’s population after 5 years?

Answers

The equation that represents the town's population is p = 78,000 x 0.97^5.

What is the equation?

The equation that represents the town's population is an exponential equation. The general form of exponential equation is f(x) = [tex]e^{x}[/tex]

Where:

x = the variable e = constant

The form o f the equation is:

Future population = present population x (1 - rate of decline/100)^number of years

p = 78,000 x (1 - 3/100)^5

p = 78,000x (1 - 0.03)^5

p = 78,000 x (0.97^5)

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On January 3, 2004, after a journey of 300 million miles, the rover Spirit landed on Mars and began sending back information to Earth. It landed only six miles from its target. This accuracy is comparable to shooting an arrow at a target fifty feet away and missing the exact center by what distance?

Answers

This accuracy is comparable to shooting an arrow at a target fifty feet away and missing the exact center by the distance;  0.000001 miles

How to solve proportion word problems?

Proportion word problems are simply ways of expressing proportion problems in words. For example we share oranges among three people each receiving 2, 3 and 4 respectively and as such the ratio of the proportion is 2:3:4.

Now, we are told that  after a journey of 300 million miles, the rover Spirit landed on Mars and began sending back information to Earth. It landed only six miles from its target. This is comparable  to shooting an arrow at a target fifty feet away and missing the exact center.

Thus, if the comparable distance missed is x, then we can say that;

x/50 = 6/300000000

x = (6 * 50)/300000000

x = 3/3000000

x = 0.000001

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The impedance​ Z, in​ ohms, of a circuit element is defined as the ratio of the phasor voltage​ V, in​ volts, across the element to the phasor current​ I, in​ amperes, through the elements. That​ is, z= v/i. If the voltage across a circuit element is 12+5i volts and the current through the element is 3-2i ​amperes, determine the impedance.

Answers

The impedance of the circuit in this problem is given as follows:

Z = (26 + 39i)/11.

How to obtain the impedance of a circuit?

The impedance of a circuit of Voltage V and Current I is given by the equation presented as follows:

Z = V/I.

The parameters for this problem are given as follows:

V = 12 + 5i.I = 3 - 2i.

Hence the impedance is given as follows:

Z = (12 + 5i)/(3 - 2i).

Removing the complex number from the denominator, we have that:

Z = (12 + 5i)/(3 - 2i) x (3 + 2i)/(3 + 2i)

Z = [(12 + 5i)(3 + 2i)]/11

11 because (3 - 2i)(3 + 2i) = 9 - 2i² = 9 + 2 = 11, as i² = -1.

Hence:

Z = (36 + 39i - 10)/11

Z = (26 + 39i)/11.

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Vlad spent 20 minutes on his history homework and then completely solve X math problems that took two minutes to complete what is the equation that could be used to find the value of why the total time that Vlad spent on his homework and what are the constraints on the values of X and y

Answers

The total time of homework is represented by T = 2x + 20.

What is an expression?

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that Vlad spent 20 minutes on his history homework and then completely solved X math problems that took two minutes to complete.

The expression can be written as:-

T = 2x + 20 minutes

Here, T is the total time, and x is the number of math problems.

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A person cycles from their home to a library which is 8 kilometers away. It takes them 20 minutes to reach the library. They stay there for 30 minutes to read, and then walk to their friend's home which is 4 kilometers from the library and reach there in 20 minutes. Which graph best represents this situation?

Answers

It’s cAnswer:

Step-by-step explanation:

it’s right

The graph that represents the situation is added as an attachment

How to determine the graph of the situation

From the question, we have the following parameters that can be used in our computation:

Library = 8 kilometers for 20 minutesTime at rest = 30 minutesFriend = 4 kilometers for 20 minutes

This means that the graph would be represented using a distance/time graph

Such that the distance would be on the y-axis and the time would be on the x-axis

See attachment for the graph

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Find the slope of the line that goes through the points (0, 9) and (-2, -4).

Answers

Answer is 13/2 slope

Step by step

Slope is rise (up or down) over run (left or right)

Slope can be found using the formula
y2 - y1 over x2 - x1

-4 -9 over -2 -0

-13 over -2 = -13/-2 or 13/2 slope

You can also find slope by graphing the two points and finding rise over run like I did in the attachment

In a certain school district, it was observed that 33% of the students in the element schools were classified as only children (no siblings). However, in the special program for talented and gifted children, 130 out of 345 students are only children. The school district administrators want to know if the proportion of only children in the special program is significantly different from the proportion for the school district. Test at the α=0.05α=0.05 level of significance. What is the hypothesized population proportion for this test?

Answers

The null hypothesis population proportion for this test is 33%. The test is used to determine if the proportion of only children in the special program is significantly different from the proportion for the school district, at an alpha level of 0.05.

Step 1: Define the parameters:

Population proportion (p): 33%

Significance level (α): 0.05

Step 2: Calculate the test statistic:

Sample proportion (p-hat): 130/345 = 0.37

Step 3: Calculate the critical value:

Critical value (α): 0.05

Step 4: Compare the test statistic to the critical value:

Test statistic (p-hat) > Critical value (α): 0.37 > 0.05

The test statistic is greater than the critical value, so the null hypothesis is rejected. Therefore, the proportion of only children in the special program is significantly different from the proportion for the school district.

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harold tosses a nickel four times. then find the probability that he gets at least as many heads as tails.

Answers

As a result, there is an 11/16 chance that there will be at least as many heads as tails.

What is probability?

The branch of mathematics concerned with probability is known as probability theory. Although there are several different interpretations of probability, probability theory treats the concept rigorously mathematically by expressing it through a set of axioms. The probability is a measure of the likelihood that an event will occur. It assesses the event's certainty. P(E) = Number of Favourable Outcomes/Number of Total Outcomes is the probability formula. A probability is a number that represents the likelihood or chance that a specific event will occur. Probabilities can be expressed as proportions ranging from 0 to 1, as well as percentages ranging from 0% to 100%.

Here,

The likelihood that there will be more tails, more heads, or equal numbers of each is 5/16, 5/16, and 6/16, respectively. Therefore, the probability that there will be at least as many heads as tails is 11/16.

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Complete Question:

Harold tosses a nickel four times. The probability that he gets at least as many heads as tails is:

Write in point slope form and slope intercept form.

Answers

When given the point-slope form of a line, we first must identify the point and the slope in order to create a graph of the line.

How do you write point-slope form with a point slope?

The general form of a linear equation is y-y1=m(x-x1). It draws attention to the line's slope and one of the line's points (that is not the y-intercept). In order to emphasise the slope and y-intercept of the same line, we can rewrite an equation in point-slope form to be in slope-intercept form, y=mx+b.

Plug the slope and the (x, y) point values into y = mx + b, then solve for b using the substitution method.Point-slope form is represented as y y 1 = m (x x 1), where (x 1, y 1) is the supplied point and m is the given slope.

Y = mx+b, where m is the slope and b is the y-intercept, is the formula for the slope-intercept form (the point where the line crosses the y-axis). A graph is usually simple to make.

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The given points can be written in point-slope form as y - 6 = -6(x - 4) and slope intercept form as y  = -6x + 30.

How do you write point-slope form with a point slope?

The general form of a linear equation is y-y1=m(x-x1). It draws attention to the line's slope and one of the line's points (that is not the y-intercept). In order to emphasise the slope and y-intercept of the same line, we can rewrite an equation in point-slope form to be in slope-intercept form, y=mx+b.

Y = mx+b, where m is the slope and b is the y-intercept, is the formula for the slope-intercept form (the point where the line crosses the y-axis). A graph is usually simple to make.

Given, x intercept = 5

which means when y = 0, x = 5 i.e. (5, 0)

And given a point (4, 6)

using the two points in slope formula

[tex]$\mathrm{m = \frac{y_2 - y_1}{x_2 - x_1}}[/tex]

[tex]$\mathrm{m = \frac{6- 0}{4 - 5}}[/tex]

m = 6/-1

m = -6

Now, as we have slope, put the data in point-slope form

y-y₁ = m(x -x₁)

y - 6 = -6(x - 4)   ⇒  point-slope form

y - 6 = -6x + 24

y  = -6x + 24 + 6

y  = -6x + 30    ⇒ slope intercept form

Thus, the given points can be written in point-slope form as y - 6 = -6(x - 4) and slope intercept form as y  = -6x + 30.

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Write an algebraic expression as indicated.
Roberto has a total of $4000 in two savings accounts. Let x represent the amount in one account. Write an algebraic expression for the amount in the other
account.

Answers

Answer:

4000-x

Step-by-step explanation:

both accounts - account x = account y

(x+y) - x = y

A kite has angle measures of 7x°, 65°, 85°, and 105°. Find the value of x.



Which of the angles are opposite angles? Explain your reasoning.

Answers

Part 1

Angles of a quadrilateral add to 360 degrees.

[tex]7x+65+85+105=360\\\\7x+255=360\\\\7x=105\\\\x=15[/tex]

Part 2

If [tex]x=15[/tex], then [tex]7x=105^{\circ}[/tex]. Thus, the angles measuring [tex]7x[/tex] and [tex]105^{\circ}[/tex] are opposite angles since opposite angles of a kite are congruent.

This means the remaining angles, which are the angles measuring [tex]65^{\circ}[/tex] and [tex]85^{\circ}[/tex], are also opposite using the process of elimination.

A string measures 30cm. About how many inches long is the string

Answers

Answer: 11.811 inches

Step-by-step explanation:

There are about 0.3937 inches in a cm, so the answer is [tex]30(0.3937)=11.811[/tex] inches.

For the reaction A + B -> C, explain at least two ways in which the rate law could be zero order in chemical A.

Answers

Chemical A's rate law may be zero order and is unaffected by the ratio of reactant to product concentrations.

What is meant by ratio?When the second number in the ordered pair, b, is not equal to 0, the ratio is expressed as a/b. An equation in which two ratios are made equal is known as a percentage. As an illustration, you could express the ratio as 1: 3 if there is 1 guy and 3 girls (for every one boy there are 3 girls). This suggests that there are more individuals who disapprove of your opinion than who approve of it.The mathematical formula for the ratio is commenting/(reposts + likes), where the ratio is the number of comments a post receives in comparison to likes and reposts.

For the zero order reaction, [tex]$\mathrm{A}+\mathrm{B} \rightarrow \mathrm{C}$[/tex]

Rate equation is : Rate [tex]$=\mathrm{k}[\mathrm{A}]^0[\mathrm{~B}]^0$[/tex]

As a result, the pace of the reaction is unaffected by the amounts of reactant and product present.

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the sum of two numbers is 22, and their difference is 12. set up two equations to solve using elimination to help you find the numbers. enter the lesser of the two numbers here:

Answers

When the sum of two numbers is 22, and their difference is 12, the lesser of the two numbers is 5.

What is equation?

An equation is a formula in mathematics that expresses the equality of two expressions by connecting them with the equals sign =. In its most basic form, an equation is a mathematical statement that shows that two mathematical expressions are equal. 3x + 5 = 14, for example, is an equation in which 3x + 5 and 14 are two expressions separated by a 'equal' sign. A mathematical equation that depicts the relationship between two expressions on opposite sides of the sign. It mostly consists of one variable and one equal to symbol. 2x - 4 = 2 is an example.

Here,

Let numbers be a and b.

a+b=22

a=22-b

b-a=12

b-(22-b)=12

2b-22=12

2b=34

b=17

a=5

The lesser of the two numbers is 5 when the sum of two numbers is 22, and their difference is 12.

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A builder wants to purchase
countertops that are 15’ long and 24” deep, plus an island countertop that is
48” x 36”, how much total square
footage will be needed for this?

Answers

The builder will need a total of 372 square feet of countertop.

Solution

First, let's convert all dimensions to feet:

The 15' countertops are 15 * 12 = 180 inches long.

The 24" deep countertops are 24 / 12 = 2 feet deep.

The 48" x 36" island countertop is 48 / 12 = 4 feet wide and 36 / 12 = 3 feet deep.

Next, we can calculate the square footage of each countertop:

The 15' countertops are 180 inches long and 2 feet deep, so the square footage is 180 * 2 = 360 square feet.

The island countertop is 4 feet wide and 3 feet deep, so the square footage is 4 * 3 = 12 square feet.

Finally, we can add the square footage of each countertop to find the total square footage:

360 square feet + 12 square feet = 372 square feet

Therefore, The builder will need a total of 372 square feet of countertop.

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A granola bite contains 27 calories. Most of the calories come from c
grams of carbohydrates. The rest come from other ingredients. One
gram of carbohydrate contains 4 calories.
The equation 4c + 5 = 27 represents the relationship between these
quantities.
Answer the following questions:
1. What could the 5 represent in this situation?
2. Priya said that neither 8 nor 3 could be the solution to the
equation. Explain why she is correct.
3. Find the solution to the equation.

Answers

A. 5 represents the number of calories that come from other ingredients.

B. Neither 8 nor 3 satisfies the given equation, so neither 8 nor 3 can be the solution to the equation.

C. The value of c is 5.5.

What are linear equations?

When an algebraic equation is graphed, it always results in a straight line since each term in a linear equation has an exponent of 1. For this reason, it is referred to as a "linear equation."

There are both one-variable and two-variable linear equations.

Given

equation 4c + 5 = 27

Where c  represents the grams of carbohydrates

27 is the total number of calories that are received by the granola bite.

4 is the number of calories from 1 gram of carbohydrates and

5 is the number of calories that are received from other ingredients.

B: Priya said that neither 8 nor 3 could be the solution to the

equation.

substituting 8 and 3 in the equation,

4c + 5

4*8 + 5 = 37≠ 27

4*3 + 5 = 17≠ 27

so 8 and 3 are not solutions of the equation.

C: solution of the equation, 4c + 5 = 27

4c = 27 - 5

4c = 22

c = 22/5

c = 5.5

Hence  5 represents calories from another ingredient,

8 and 3 are not the solution of the equation and the solution of the equation is 5.5.

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Find the constant rate of change


Age Height

9 54

10 56

11 58

12 60

Answers

The constant change rate will be straight according to the solution.

What does "constant rate of change" mean?

When the ratio of something like the output to the input remains constant at every given point along the function, the rate of change is said to be constant. The slope is another name for the constant change rate. For linear functions, the rate of change will be constant.

The rate of change is it always the same?

The change rate (slope) is constant for straight lines (always the same). The rate of change for such lines is constant. With the aid of the resources on this page, you may learn how to calculate slope and change rate as well as the rate of change formula.

According to the given data:

Age                        Height

9                                  54

10                                 56

11                                  58

12                                 60

The constant rate of change will be straight. because the given data will form a straight line on the graph.  the rate of change (slope) is constant (always the same). For such lines, the rate of change is constant.

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S is the sum of 12, 8, 6, 4 and x. What is the value of x if x = 2/5S?
(Linear equations)

Answers

Answer:

x = 20

Step-by-step explanation:

Sum of 12, 8, 6, 4 and x is:

S = 12 + 8 + 6 + 4 + x = 30 + x

[tex]\dfrac{2}{5}S = \dfrac{2}{5}\cdot 30 + \dfrac{2}{5}x\\\\=12 + \dfrac{2}{5}x\\\\\\\textrm{But left side is nothing but x}\\\\\textrm{So we get }x = 12 + \dfrac{2}{5}x\\\\\rm{Subtract $\dfrac{2}{5}x$ from both sides}\\\\x - \dfrac{2}{5}x = 12\\\\\dfrac{3}{5}x = 12\\\\x = \dfrac{12 \cdot 5}{3} \\\\x = 20\\\\[/tex]

Verify

12 + 8 + 6 + 4 + 20 = 50

(2/5) x 50 = 20

1850-120w=b (the answer of part A)
How would you interpret the statement that b(14)=170?

Answers

The statement b(14) = 170 is interpreted using the function 1850 - 120w = b to be:

When w is 14 b is equal to 170

How to interpret a function

The function 1850 - 120w = b  as in the problem is a linear function.

A linear function is one which all the parameters has exponents of one. In the linear function parameters are defined below

b = the output value

w = the input value

120 = slope

1850 = the y intercept

The statement b(14) = 170 means that at input of 14 the out put is 170. this is shown mathematically

1850 - 120w = b

1850 - 120 * 14 = b

1850 - 120w = 170 = b

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Lines L and M are perpendicular to each other. Line L has an undefined slope. Find the possible equation of line M.

Answers

y=7 is One of line M's potential equations.

Let L and M be two lines that are perpendicular to each other. Slope of line is given by m=x 2 −x 1/ y 2​ −y 1

If the denominator is zero, or if the value of the x-coordinate is the same at all points, the value of m is undefined. Every point lying on L has the same value of the x-coordinate because L has an undefined slope.

L is a vertical line because it is parallel to the Y-axis.

Lines that are vertical and horizontal are perpendicular to one another.

∴ Line M will be parallel to the X-axis since it is perpendicular to line L.

Every point located on M will have a constant y-coordinate.

∴ m=0 for M.

Thus, y=7 is one of line M's potential equations.

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Find the limit of the function as x approaches 1 by inspecting the graph.
O 2 O oo O -1 O 5 O 0

Answers

The limit of the function is 2 as x approaches 1.

What is limit of a function?

in mathematics, the limit of a function is the value that the function approaches as the input (or independent variable) gets closer to a certain value. The limit of a function is a fundamental concept in calculus, and is used to study the behavior of a function as the input gets arbitrarily close to a certain value, but not necessarily equal to it. The limit is usually denoted by the symbol "lim" and it is read as "the limit of f(x) as x approaches a is L" where f(x) is the function, a is the value that x approaches and L is the limit.

so we need to find

[tex]\lim_{x \to \ 1}\frac{x^2-1}{x-1}[/tex]  ---(i)

we will observer that the function reduces to [tex]\frac{0}{0}[/tex] form at x=1

factorisation of x² -1 = (x+1)*(x-1)

substituting the value of x² -1 in equation (i) we get

[tex]\lim_{x \to \ 1} x+1[/tex]

=> 2

so the value of [tex]\lim_{x \to \ 1}\frac{x^2-1}{x-1}[/tex] =2

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Complete question:

Find the limit of the function as x approaches 1 .

f(x) = [tex]\frac{x^2-1}{x-1}[/tex]

Rashaad has a loyalty card good for a 10% discount at his local hardware store. What would his total in dollars and cents be, after the discount and before tax, if the total cost of all the items he wants to buy is $31.40? Round to the nearest cent.

Answers

The answer is 28.26

31.40 x 10% (aka .10) =28.26

Rashaad will pay $28.26 after the discount.

What is discount?

The discount equals the difference between the price paid for and it’s par value. Discount is a kind of reduction or deduction in the cost price of a product.

Given that, Rashaad has a loyalty card good for a 10% discount, he bought something at $31.40, we need to find the total amount he needs to pay after the discount,

So, the amount he will pay is (100-10) = 90% of the original amount,

90% of 31.40

= 90 % × 31.40

= 90/100 × 31.40

= 2826/100

= 28.26

Hence, he will pay $28.26 after the discount.

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Calcular el valor numerico de la funcion polinomica.
Gracias al que respondio :)

Answers

Los valores de las expresiones polinomicas son:

10*(1/2)^2 - 4*(1/2) = 1/2

(2/3)*(-3/4) - (1/2)*(-3/4)^2 = -25/32

¿Como resolver las expresiones?

En este problema queremos encontrar los valores de dos expresiones polinomicas.

La primera es:

10*(1/2)^2 - 4*(1/2)

Primero resolvemos el cuadrado del primer termino, esto da:

10*(1/4) - 4*1/2

10/4 - 4/2

Ahora queremos tener el mismo denominador en ambas fracciones, asi reescribimos la primear como:

5/2 - 4/2

1/2

Ese es el valor numerico.

La segunda expression es:

(2/3)*(-3/4) - (1/2)*(-3/4)^2

Primero resolvemos el cuadrado, recordar que esto cancela el signo negativo:

(2/3)*(-3/4) - (1/2)*(9/16)

Ahora tomamos los productos entre fracciones:

(2/3)*(-3/4) - (1/2)*(9/16)

-6/12 - 9/32

Simplificamos ambas fracciones:

-1/2 - 9/32

Escribimos ambas fracciones con el mismo denominador:

-16/32 - 9/32 = -25/32

Aprende mas sobre polinomios:

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Use the figure showing two parallel lines cut by a transversal. Find the measure of angle 2 if the measure of angleUse the figure showing two parallel lines cut by a transversal. Find the measure of angle 2 if the measure of angle 1 is 65 degrees.
1 is 65 degrees.

Answers

The measure of angle 2 is given as follows:

115º.

What are linear pairs?

When two parallel lines are cut by a transversal, the consecutive angles relative to the same vertex are linear pairs, which are supplementary angles.

When two angles are supplementary, the sum of their measures is of 180º, meaning that the equation for this problem is given as follows:

m < 1 + m < 2 = 180º.

Since m < 1 = 65º, the measure of angle 2 is obtained as follows:

m < 2 = 180 - 65

m < 2 = 115º.

Missing Information

The figure giving context to the problem, without scaling, is given at the end of the answer.

More can be learned about linear pairs at https://brainly.com/question/18944511

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